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  3. problem 2 20 points a solid circular shaft is rigidly...

Question: problem 2 20 points a solid circular shaft is rigidly...

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Problem 2 (20 Points). A solid circular shaft is rigidly attached to a concrete wall as shown in Figure 2. The length of the shaft is 4 m and there is a step change in the diameter at the mid-point of the shaft. A constant vertical load P = 40 kN acts vertically downward on the shaft at a distance e from the step in the shaft. Neglect the effects of stress concentration at the step and the effects of shear stress due to the transverse shear force. Part I. Given that the load P 40,000 N is applied at a distance e - 0.5 m from the step, and a constant counterclockwise torque T- 50,000 Nm is applied at the end of the shaft (location C). (i) Draw the shear force and the bending moment diagrams for the shaft. (ii) Given that the shaft material is ductile, with a yield strength S,-200 MPa, determine the static factor of safety for the critical element at the wall using von Mises theory (ii) Given that the shaft material is brittle, with an ultimate tensile strength Sut-200 MPa and an ultimate compressive strength Suc-250 MPa, determine the static factor of safety for the critical element of the shaft at the wall using the Coulomb-Mohr theory Part II. Using von Mises theory determine the maximum distance e that the load P -40,000 N can be applied in order for the constant torque T - 35,000 e Nm and the static factor of safety for the critical element at section A to be N-1. Assume that the yield strength of the shaft material is Sv- 200 MPa. Im -2m WALL P=40 kN | d20 d,-15

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